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323001034140 = 223571331397577
BaseRepresentation
bin1001011001101000101…
…11001010010110011100
31010212201111102121220110
410230310113022112130
520243001231043030
6404215025050020
732223160330041
oct4546427122634
91125644377813
10323001034140
11114a90732724
1252724486910
13245c7190695
14118c1c1d1c8
158606b251b0
hex4b345ca59c

323001034140 has 192 divisors, whose sum is σ = 923827258368. Its totient is φ = 84304281600.

The previous prime is 323001034121. The next prime is 323001034159. The reversal of 323001034140 is 41430100323.

It is an interprime number because it is at equal distance from previous prime (323001034121) and next prime (323001034159).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 559793532 + ... + 559794108.

It is an arithmetic number, because the mean of its divisors is an integer number (4811600304).

Almost surely, 2323001034140 is an apocalyptic number.

323001034140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323001034140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461913629184).

323001034140 is an abundant number, since it is smaller than the sum of its proper divisors (600826224228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

323001034140 is a wasteful number, since it uses less digits than its factorization.

323001034140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 323001034140 its reverse (41430100323), we get a palindrome (364431134463).

The spelling of 323001034140 in words is "three hundred twenty-three billion, one million, thirty-four thousand, one hundred forty".